simplify ln(17/25)

Solution

simplify

ln (\frac{17}{25})

ln (17) - 2 ln (5)

Decimal Notation

- 0.38566 \dots

Solution steps

ln (\frac{17}{25})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{17}{25}) = ln (17) - ln (25)

= ln (17) - ln (25)

ln (25) = 2 ln (5)

= ln (17) - 2 ln (5)

ln (\frac{3 x ^{3 - 1}}{θ ^{3}})

\frac{1}{2} (ln (1 + 2) - ln (- 1 + 2))

2 ln (6) - 3 ln (x)

ln (\frac{a ^{2}}{b ^{- 1} c ^{1}})

\frac{2}{3} \cdot lo g_{10} (7.71 \cdot 1 0^{28}) - 9.1